# CLEP College Algebra Help & Practice

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##### 1Adding and Subtracting Integers

##### 2Multiplying and Dividing Integers

##### 3Primes and Common Factors

##### 4Fractions

##### 5Decimals

##### 6Expressions and Equations

- 6.1Patterns
- 6.2Adding and subtracting polynomials
- 6.3Multiplying polynomials by monomials
- 6.4Solving linear equations using multiplication and division
- 6.5Solving two-step linear equations:
*ax + b = c*,*x/a + b = c* - 6.6Solving one - step equations:
*x + a = b* - 6.7Solving linear equations with variables on both sides

- 6.1Patterns
##### 7Introduction to Equations

##### 8Absolute Value and Equations

##### 9Graphing Inequalities

##### 10Linear Equations

##### 11Graphing Functions

- 11.1Domain and range of a function
- 11.2Identifying functions
- 11.3Function notation
- 11.4Graphing linear functions using x- and y-intercepts
- 11.5Determining number of solutions to linear equations
- 11.6Using elimination method to solve systems of equations
- 11.7Using substitution method to solve systems of equations
- 11.8Solving systems of linear equations by graphing

- 11.1Domain and range of a function
##### 12Exponents and Multiplying Polynomials

- 12.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 12.2Exponents: Power rule
*(a^x)^y = a^(x * y)* - 12.3Exponents: Division rule (a^x / a^y) = a^(x-y)
- 12.4Combining the exponent rules
- 12.5Exponents: Zero exponent:
*a^0 = 1* - 12.6Multiplying binomial by binomial
- 12.7Solving linear equations using distributive property:
*a(x + b) = c*

- 12.1Exponents: Product rule
##### 13Factoring

- 13.1Common factors of polynomials
- 13.2Factor by taking out the greatest common factor
- 13.3Factoring polynomials: $ax^2 + bx + c$
- 13.4Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 13.5Factoring difference of squares:
*x^2 - y^2* - 13.6Introduction to quadratic functions
- 13.7Factoring polynomials by grouping
- 13.8Factoring polynomials:
*x^2 + bx + c* - 13.9Evaluating polynomials
- 13.10Word problems of polynomials

- 13.1Common factors of polynomials
##### 14Radical Expressions and Quadratic Equations

##### 15Imaginary and Complex Numbers

##### 16Solving Quadratic Equations

##### 17Ratio, Proportion, Area, and Perimeter

##### 18Surface Area and Volume

##### 19Probability and Statistics

##### 20Coordinate Geometry

##### 21Negative and Rational Exponents

##### 22Composite Functions and Inverses

##### 23Logarithms and Exponential Functions

- 23.1What is a logarithm?
- 23.2Evaluating logarithms without a calculator
- 23.3Product rule of logarithms
- 23.4Quotient rule of logarithms
- 23.5Combining product rule and quotient rule in logarithms
- 23.6Solving logarithmic equations
- 23.7Evaluating logarithms using change-of-base formula
- 23.8Exponential growth and decay by a factor
- 23.9Exponential decay: Half-life
- 23.10Natural log: ln

- 23.1What is a logarithm?